Simplifying Radicals Worksheet
A Grade 12 math worksheet on simplifying radical expressions, including square roots, cube roots, and rationalizing denominators.
Includes
3 Short AnswerMultiple ChoiceFill in the Blanks
Standards
CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSA.APR.D.7
Topics
mathalgebraradicalssimplifyinggrade 12
7 sections · Free to use · Printable
Simplifying Radicals Worksheet
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Simplify each radical expression completely. Show all your work.
1. Simplify: √72
2. Simplify: √(48x³y²)
3. Simplify: ³√(-125)
4. Simplify: ³√(54a⁴b⁶)
5. Rationalize the denominator: 5/√3
6. Rationalize the denominator: 2/(√7 - √5)
7. Which of the following is the simplified form of √180?
a
6√5
b
5√6
c
3√20
d
18√10
8. To simplify a radical, we look for perfect factors within the radicand.
9. The process of eliminating a radical from the denominator of a fraction is called the denominator.